Objective
"The Andre-Oort conjecture is an important problem in the theory of Shimura varieties. It also has significant applications in other areas of Number Theory, such as transcendence theory. The conjecture was proved assuming the Generalised Riemann Hypothesis by Klingler, Ullmo and Yafaev. Very recently, Jonathan Pila came up with a very promising strategy for proving the Andre-Oort conjecture unconditionally. The first main aim of this proposal is to combine Pila's ideas with the ideas of Klingler-Ullmo-Yafaev in order to obtain a proof of the Andre-Oort conjecture without the assumption of the GRH. We then propose to use these methods to attack the Zilber-Pink conjecture, a very vast generalisation of Andre-Oort. We also propose to consider several problems closely related to geometry of Shimura Varieties and the Andr\'e-Oort conjecture. Namely Coleman's cponjecture on finiteness of the number of Jacobians with complex multiplication for curves of large genus, the Mumford-Tate conjecture on Galois representations attached to abelian varieties over number field and Lang's conjecture on rational points on hyperbolic varieties in the context of Shimura varieties."
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences mathematics pure mathematics arithmetics
- natural sciences mathematics pure mathematics geometry
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
ERC-2012-StG_20111012
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Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Host institution
WC1E 6BT LONDON
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.